TSTP Solution File: SYO543^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO543^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 09:06:09 EDT 2024

% Result   : Theorem 0.13s 0.38s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   55 (  15 unt;   5 typ;   0 def)
%            Number of atoms       :  407 ( 213 equ;   0 cnn)
%            Maximal formula atoms :    4 (   8 avg)
%            Number of connectives :  384 (  90   ~; 100   |; 118   &;  72   @)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   98 (  98   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   9 usr;   6 con; 0-4 aty)
%            Number of variables   :   97 (  60   ^  31   !;   4   ?;  97   :)
%                                         (   2  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    epsii: ( ( $i > $i ) > $o ) > $i > $i ).

thf(func_def_2,type,
    if: $o > ( $i > $i ) > ( $i > $i ) > $i > $i ).

thf(func_def_3,type,
    vEPSILON: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_16,type,
    sK1: $i > $i ).

thf(func_def_18,type,
    ph3: 
      !>[X0: $tType] : X0 ).

thf(f208,plain,
    $false,
    inference(avatar_sat_refutation,[],[f85,f199,f205,f207]) ).

thf(f207,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f206]) ).

thf(f206,plain,
    ( $false
    | ~ spl2_1 ),
    inference(equality_resolution,[],[f69]) ).

thf(f69,plain,
    ( ! [X1: $i > $i] : ( sK1 != X1 )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f68]) ).

thf(f68,plain,
    ( spl2_1
  <=> ! [X1: $i > $i] : ( sK1 != X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

thf(f205,plain,
    ( spl2_1
    | spl2_4
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f204,f71,f80,f68]) ).

thf(f80,plain,
    ( spl2_4
  <=> ( sK1
      = ( epsii
        @ ^ [Y0: $i > $i] :
            ( ( ( sK1 = Y0 )
              & ~ sK0 )
            | ( ( sK1 = Y0 )
              & sK0 ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

thf(f71,plain,
    ( spl2_2
  <=> ( sK0 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

thf(f204,plain,
    ( ! [X1: $i > $i] :
        ( ( sK1 != X1 )
        | ( sK1
          = ( epsii
            @ ^ [Y0: $i > $i] :
                ( ( ( sK1 = Y0 )
                  & ~ sK0 )
                | ( ( sK1 = Y0 )
                  & sK0 ) ) ) ) )
    | ~ spl2_2 ),
    inference(trivial_inequality_removal,[],[f203]) ).

thf(f203,plain,
    ( ! [X1: $i > $i] :
        ( ( $false = $true )
        | ( sK1
          = ( epsii
            @ ^ [Y0: $i > $i] :
                ( ( ( sK1 = Y0 )
                  & ~ sK0 )
                | ( ( sK1 = Y0 )
                  & sK0 ) ) ) )
        | ( sK1 != X1 ) )
    | ~ spl2_2 ),
    inference(forward_demodulation,[],[f164,f73]) ).

thf(f73,plain,
    ( ( sK0 = $false )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f71]) ).

thf(f164,plain,
    ! [X1: $i > $i] :
      ( ( sK1
        = ( epsii
          @ ^ [Y0: $i > $i] :
              ( ( ( sK1 = Y0 )
                & ~ sK0 )
              | ( ( sK1 = Y0 )
                & sK0 ) ) ) )
      | ( sK1 != X1 )
      | ( sK0 = $true ) ),
    inference(not_proxy_clausification,[],[f163]) ).

thf(f163,plain,
    ! [X1: $i > $i] :
      ( ( $false = ~ sK0 )
      | ( sK1 != X1 )
      | ( sK1
        = ( epsii
          @ ^ [Y0: $i > $i] :
              ( ( ( sK1 = Y0 )
                & ~ sK0 )
              | ( ( sK1 = Y0 )
                & sK0 ) ) ) ) ),
    inference(equality_proxy_clausification,[],[f162]) ).

thf(f162,plain,
    ! [X1: $i > $i] :
      ( ( ( sK1
          = ( epsii
            @ ^ [Y0: $i > $i] :
                ( ( ( sK1 = Y0 )
                  & ~ sK0 )
                | ( ( sK1 = Y0 )
                  & sK0 ) ) ) )
        = $true )
      | ( $false = ~ sK0 )
      | ( sK1 != X1 ) ),
    inference(equality_proxy_clausification,[],[f161]) ).

thf(f161,plain,
    ! [X1: $i > $i] :
      ( ( ( sK1 = X1 )
        = $false )
      | ( ( sK1
          = ( epsii
            @ ^ [Y0: $i > $i] :
                ( ( ( sK1 = Y0 )
                  & ~ sK0 )
                | ( ( sK1 = Y0 )
                  & sK0 ) ) ) )
        = $true )
      | ( $false = ~ sK0 ) ),
    inference(binary_proxy_clausification,[],[f160]) ).

thf(f160,plain,
    ! [X1: $i > $i] :
      ( ( $false
        = ( ( sK1 = X1 )
          & ~ sK0 ) )
      | ( ( sK1
          = ( epsii
            @ ^ [Y0: $i > $i] :
                ( ( ( sK1 = Y0 )
                  & ~ sK0 )
                | ( ( sK1 = Y0 )
                  & sK0 ) ) ) )
        = $true ) ),
    inference(duplicate_literal_removal,[],[f159]) ).

thf(f159,plain,
    ! [X1: $i > $i] :
      ( ( ( sK1
          = ( epsii
            @ ^ [Y0: $i > $i] :
                ( ( ( sK1 = Y0 )
                  & ~ sK0 )
                | ( ( sK1 = Y0 )
                  & sK0 ) ) ) )
        = $true )
      | ( $false
        = ( ( sK1 = X1 )
          & ~ sK0 ) )
      | ( ( sK1
          = ( epsii
            @ ^ [Y0: $i > $i] :
                ( ( ( sK1 = Y0 )
                  & ~ sK0 )
                | ( ( sK1 = Y0 )
                  & sK0 ) ) ) )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f157]) ).

thf(f157,plain,
    ! [X1: $i > $i] :
      ( ( ( ( sK1
            = ( epsii
              @ ^ [Y0: $i > $i] :
                  ( ( ( sK1 = Y0 )
                    & ~ sK0 )
                  | ( ( sK1 = Y0 )
                    & sK0 ) ) ) )
          & sK0 )
        = $true )
      | ( ( sK1
          = ( epsii
            @ ^ [Y0: $i > $i] :
                ( ( ( sK1 = Y0 )
                  & ~ sK0 )
                | ( ( sK1 = Y0 )
                  & sK0 ) ) ) )
        = $true )
      | ( $false
        = ( ( sK1 = X1 )
          & ~ sK0 ) ) ),
    inference(binary_proxy_clausification,[],[f155]) ).

thf(f155,plain,
    ! [X1: $i > $i] :
      ( ( ( ( sK1
            = ( epsii
              @ ^ [Y0: $i > $i] :
                  ( ( ( sK1 = Y0 )
                    & ~ sK0 )
                  | ( ( sK1 = Y0 )
                    & sK0 ) ) ) )
          & ~ sK0 )
        = $true )
      | ( $false
        = ( ( sK1 = X1 )
          & ~ sK0 ) )
      | ( ( ( sK1
            = ( epsii
              @ ^ [Y0: $i > $i] :
                  ( ( ( sK1 = Y0 )
                    & ~ sK0 )
                  | ( ( sK1 = Y0 )
                    & sK0 ) ) ) )
          & sK0 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f154]) ).

thf(f154,plain,
    ! [X1: $i > $i] :
      ( ( ( ( ( sK1
              = ( epsii
                @ ^ [Y0: $i > $i] :
                    ( ( ( sK1 = Y0 )
                      & ~ sK0 )
                    | ( ( sK1 = Y0 )
                      & sK0 ) ) ) )
            & ~ sK0 )
          | ( ( sK1
              = ( epsii
                @ ^ [Y0: $i > $i] :
                    ( ( ( sK1 = Y0 )
                      & ~ sK0 )
                    | ( ( sK1 = Y0 )
                      & sK0 ) ) ) )
            & sK0 ) )
        = $true )
      | ( $false
        = ( ( sK1 = X1 )
          & ~ sK0 ) ) ),
    inference(binary_proxy_clausification,[],[f152]) ).

thf(f152,plain,
    ! [X1: $i > $i] :
      ( ( $false
        = ( ( ( sK1 = X1 )
            & ~ sK0 )
          | ( ( sK1 = X1 )
            & sK0 ) ) )
      | ( ( ( ( sK1
              = ( epsii
                @ ^ [Y0: $i > $i] :
                    ( ( ( sK1 = Y0 )
                      & ~ sK0 )
                    | ( ( sK1 = Y0 )
                      & sK0 ) ) ) )
            & ~ sK0 )
          | ( ( sK1
              = ( epsii
                @ ^ [Y0: $i > $i] :
                    ( ( ( sK1 = Y0 )
                      & ~ sK0 )
                    | ( ( sK1 = Y0 )
                      & sK0 ) ) ) )
            & sK0 ) )
        = $true ) ),
    inference(beta_eta_normalization,[],[f149]) ).

thf(f149,plain,
    ! [X1: $i > $i] :
      ( ( ( ^ [Y0: $i > $i] :
              ( ( ( sK1 = Y0 )
                & ~ sK0 )
              | ( ( sK1 = Y0 )
                & sK0 ) )
          @ X1 )
        = $false )
      | ( $true
        = ( ^ [Y0: $i > $i] :
              ( ( ( sK1 = Y0 )
                & ~ sK0 )
              | ( ( sK1 = Y0 )
                & sK0 ) )
          @ ( epsii
            @ ^ [Y0: $i > $i] :
                ( ( ( sK1 = Y0 )
                  & ~ sK0 )
                | ( ( sK1 = Y0 )
                  & sK0 ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f199,plain,
    ~ spl2_4,
    inference(avatar_contradiction_clause,[],[f198]) ).

thf(f198,plain,
    ( $false
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f151]) ).

thf(f151,plain,
    ( ( sK1 != sK1 )
    | ~ spl2_4 ),
    inference(superposition,[],[f19,f82]) ).

thf(f82,plain,
    ( ( sK1
      = ( epsii
        @ ^ [Y0: $i > $i] :
            ( ( ( sK1 = Y0 )
              & ~ sK0 )
            | ( ( sK1 = Y0 )
              & sK0 ) ) ) )
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f80]) ).

thf(f19,plain,
    ( sK1
   != ( epsii
      @ ^ [Y0: $i > $i] :
          ( ( ( sK1 = Y0 )
            & ~ sK0 )
          | ( ( sK1 = Y0 )
            & sK0 ) ) ) ),
    inference(beta_eta_normalization,[],[f18]) ).

thf(f18,plain,
    ( ( ^ [Y0: $o,Y1: $i > $i,Y2: $i > $i] :
          ( epsii
          @ ^ [Y3: $i > $i] :
              ( ( ( Y2 = Y3 )
                & ~ Y0 )
              | ( ( Y1 = Y3 )
                & Y0 ) ) )
      @ sK0
      @ sK1
      @ sK1 )
   != sK1 ),
    inference(definition_unfolding,[],[f16,f17]) ).

thf(f17,plain,
    ( if
    = ( ^ [Y0: $o,Y1: $i > $i,Y2: $i > $i] :
          ( epsii
          @ ^ [Y3: $i > $i] :
              ( ( ( Y2 = Y3 )
                & ~ Y0 )
              | ( ( Y1 = Y3 )
                & Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f7,plain,
    ( if
    = ( ^ [Y0: $o,Y1: $i > $i,Y2: $i > $i] :
          ( epsii
          @ ^ [Y3: $i > $i] :
              ( ( ( Y2 = Y3 )
                & ~ Y0 )
              | ( ( Y1 = Y3 )
                & Y0 ) ) ) ) ),
    inference(fool_elimination,[],[f6]) ).

thf(f6,plain,
    ( ( ^ [X0: $o,X1: $i > $i,X2: $i > $i] :
          ( epsii
          @ ^ [X3: $i > $i] :
              ( ( X0
                & ( X1 = X3 ) )
              | ( ~ X0
                & ( X2 = X3 ) ) ) ) )
    = if ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ( ( ^ [X2: $o,X1: $i > $i,X3: $i > $i] :
          ( epsii
          @ ^ [X4: $i > $i] :
              ( ( X2
                & ( X1 = X4 ) )
              | ( ~ X2
                & ( X3 = X4 ) ) ) ) )
    = if ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifd) ).

thf(f16,plain,
    ( ( if @ sK0 @ sK1 @ sK1 )
   != sK1 ),
    inference(cnf_transformation,[],[f14]) ).

thf(f14,plain,
    ( ( if @ sK0 @ sK1 @ sK1 )
   != sK1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f13]) ).

thf(f13,plain,
    ( ? [X0: $o,X1: $i > $i] :
        ( ( if @ X0 @ X1 @ X1 )
       != X1 )
   => ( ( if @ sK0 @ sK1 @ sK1 )
     != sK1 ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ? [X0: $o,X1: $i > $i] :
      ( ( if @ X0 @ X1 @ X1 )
     != X1 ),
    inference(ennf_transformation,[],[f10]) ).

thf(f10,plain,
    ~ ! [X0: $o,X1: $i > $i] :
        ( ( if @ X0 @ X1 @ X1 )
        = X1 ),
    inference(rectify,[],[f4]) ).

thf(f4,negated_conjecture,
    ~ ! [X2: $o,X1: $i > $i] :
        ( ( if @ X2 @ X1 @ X1 )
        = X1 ),
    inference(negated_conjecture,[],[f3]) ).

thf(f3,conjecture,
    ! [X2: $o,X1: $i > $i] :
      ( ( if @ X2 @ X1 @ X1 )
      = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

thf(f85,plain,
    ( spl2_2
    | spl2_1
    | spl2_4 ),
    inference(avatar_split_clause,[],[f53,f80,f68,f71]) ).

thf(f53,plain,
    ! [X1: $i > $i] :
      ( ( sK1 != X1 )
      | ( sK0 = $false )
      | ( sK1
        = ( epsii
          @ ^ [Y0: $i > $i] :
              ( ( ( sK1 = Y0 )
                & ~ sK0 )
              | ( ( sK1 = Y0 )
                & sK0 ) ) ) ) ),
    inference(equality_proxy_clausification,[],[f52]) ).

thf(f52,plain,
    ! [X1: $i > $i] :
      ( ( ( sK1 = X1 )
        = $false )
      | ( sK1
        = ( epsii
          @ ^ [Y0: $i > $i] :
              ( ( ( sK1 = Y0 )
                & ~ sK0 )
              | ( ( sK1 = Y0 )
                & sK0 ) ) ) )
      | ( sK0 = $false ) ),
    inference(equality_proxy_clausification,[],[f51]) ).

thf(f51,plain,
    ! [X1: $i > $i] :
      ( ( ( sK1
          = ( epsii
            @ ^ [Y0: $i > $i] :
                ( ( ( sK1 = Y0 )
                  & ~ sK0 )
                | ( ( sK1 = Y0 )
                  & sK0 ) ) ) )
        = $true )
      | ( ( sK1 = X1 )
        = $false )
      | ( sK0 = $false ) ),
    inference(binary_proxy_clausification,[],[f50]) ).

thf(f50,plain,
    ! [X1: $i > $i] :
      ( ( $false
        = ( ( sK1 = X1 )
          & sK0 ) )
      | ( ( sK1
          = ( epsii
            @ ^ [Y0: $i > $i] :
                ( ( ( sK1 = Y0 )
                  & ~ sK0 )
                | ( ( sK1 = Y0 )
                  & sK0 ) ) ) )
        = $true ) ),
    inference(duplicate_literal_removal,[],[f49]) ).

thf(f49,plain,
    ! [X1: $i > $i] :
      ( ( $false
        = ( ( sK1 = X1 )
          & sK0 ) )
      | ( ( sK1
          = ( epsii
            @ ^ [Y0: $i > $i] :
                ( ( ( sK1 = Y0 )
                  & ~ sK0 )
                | ( ( sK1 = Y0 )
                  & sK0 ) ) ) )
        = $true )
      | ( ( sK1
          = ( epsii
            @ ^ [Y0: $i > $i] :
                ( ( ( sK1 = Y0 )
                  & ~ sK0 )
                | ( ( sK1 = Y0 )
                  & sK0 ) ) ) )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f47]) ).

thf(f47,plain,
    ! [X1: $i > $i] :
      ( ( ( ( sK1
            = ( epsii
              @ ^ [Y0: $i > $i] :
                  ( ( ( sK1 = Y0 )
                    & ~ sK0 )
                  | ( ( sK1 = Y0 )
                    & sK0 ) ) ) )
          & sK0 )
        = $true )
      | ( ( sK1
          = ( epsii
            @ ^ [Y0: $i > $i] :
                ( ( ( sK1 = Y0 )
                  & ~ sK0 )
                | ( ( sK1 = Y0 )
                  & sK0 ) ) ) )
        = $true )
      | ( $false
        = ( ( sK1 = X1 )
          & sK0 ) ) ),
    inference(binary_proxy_clausification,[],[f45]) ).

thf(f45,plain,
    ! [X1: $i > $i] :
      ( ( ( ( sK1
            = ( epsii
              @ ^ [Y0: $i > $i] :
                  ( ( ( sK1 = Y0 )
                    & ~ sK0 )
                  | ( ( sK1 = Y0 )
                    & sK0 ) ) ) )
          & ~ sK0 )
        = $true )
      | ( $false
        = ( ( sK1 = X1 )
          & sK0 ) )
      | ( ( ( sK1
            = ( epsii
              @ ^ [Y0: $i > $i] :
                  ( ( ( sK1 = Y0 )
                    & ~ sK0 )
                  | ( ( sK1 = Y0 )
                    & sK0 ) ) ) )
          & sK0 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f23]) ).

thf(f23,plain,
    ! [X1: $i > $i] :
      ( ( ( ( ( sK1
              = ( epsii
                @ ^ [Y0: $i > $i] :
                    ( ( ( sK1 = Y0 )
                      & ~ sK0 )
                    | ( ( sK1 = Y0 )
                      & sK0 ) ) ) )
            & ~ sK0 )
          | ( ( sK1
              = ( epsii
                @ ^ [Y0: $i > $i] :
                    ( ( ( sK1 = Y0 )
                      & ~ sK0 )
                    | ( ( sK1 = Y0 )
                      & sK0 ) ) ) )
            & sK0 ) )
        = $true )
      | ( $false
        = ( ( sK1 = X1 )
          & sK0 ) ) ),
    inference(binary_proxy_clausification,[],[f22]) ).

thf(f22,plain,
    ! [X1: $i > $i] :
      ( ( $false
        = ( ( ( sK1 = X1 )
            & ~ sK0 )
          | ( ( sK1 = X1 )
            & sK0 ) ) )
      | ( ( ( ( sK1
              = ( epsii
                @ ^ [Y0: $i > $i] :
                    ( ( ( sK1 = Y0 )
                      & ~ sK0 )
                    | ( ( sK1 = Y0 )
                      & sK0 ) ) ) )
            & ~ sK0 )
          | ( ( sK1
              = ( epsii
                @ ^ [Y0: $i > $i] :
                    ( ( ( sK1 = Y0 )
                      & ~ sK0 )
                    | ( ( sK1 = Y0 )
                      & sK0 ) ) ) )
            & sK0 ) )
        = $true ) ),
    inference(beta_eta_normalization,[],[f20]) ).

thf(f20,plain,
    ! [X1: $i > $i] :
      ( ( $true
        = ( ^ [Y0: $i > $i] :
              ( ( ( sK1 = Y0 )
                & ~ sK0 )
              | ( ( sK1 = Y0 )
                & sK0 ) )
          @ ( epsii
            @ ^ [Y0: $i > $i] :
                ( ( ( sK1 = Y0 )
                  & ~ sK0 )
                | ( ( sK1 = Y0 )
                  & sK0 ) ) ) ) )
      | ( ( ^ [Y0: $i > $i] :
              ( ( ( sK1 = Y0 )
                & ~ sK0 )
              | ( ( sK1 = Y0 )
                & sK0 ) )
          @ X1 )
        = $false ) ),
    introduced(choice_axiom,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO543^1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon May 20 08:48:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH0_THM_EQU_NAR problem
% 0.13/0.35  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  % (16350)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.13/0.37  % (16352)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.13/0.37  % (16353)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.37  % (16351)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.13/0.37  % (16353)Instruction limit reached!
% 0.13/0.37  % (16353)------------------------------
% 0.13/0.37  % (16353)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (16353)Termination reason: Unknown
% 0.13/0.37  % (16353)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (16353)Memory used [KB]: 5500
% 0.13/0.37  % (16353)Time elapsed: 0.004 s
% 0.13/0.37  % (16353)Instructions burned: 2 (million)
% 0.13/0.37  % (16353)------------------------------
% 0.13/0.37  % (16353)------------------------------
% 0.13/0.37  % (16351)Instruction limit reached!
% 0.13/0.37  % (16351)------------------------------
% 0.13/0.37  % (16351)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (16351)Termination reason: Unknown
% 0.13/0.37  % (16351)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (16351)Memory used [KB]: 5500
% 0.13/0.37  % (16351)Time elapsed: 0.005 s
% 0.13/0.37  % (16351)Instructions burned: 4 (million)
% 0.13/0.37  % (16351)------------------------------
% 0.13/0.37  % (16351)------------------------------
% 0.13/0.38  % (16352)First to succeed.
% 0.13/0.38  % (16354)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.38  % (16354)Instruction limit reached!
% 0.13/0.38  % (16354)------------------------------
% 0.13/0.38  % (16354)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (16354)Termination reason: Unknown
% 0.13/0.38  % (16354)Termination phase: Function definition elimination
% 0.13/0.38  
% 0.13/0.38  % (16354)Memory used [KB]: 895
% 0.13/0.38  % (16354)Time elapsed: 0.003 s
% 0.13/0.38  % (16354)Instructions burned: 2 (million)
% 0.13/0.38  % (16354)------------------------------
% 0.13/0.38  % (16354)------------------------------
% 0.13/0.38  % (16352)Refutation found. Thanks to Tanya!
% 0.13/0.38  % SZS status Theorem for theBenchmark
% 0.13/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38  % (16352)------------------------------
% 0.13/0.38  % (16352)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (16352)Termination reason: Refutation
% 0.13/0.38  
% 0.13/0.38  % (16352)Memory used [KB]: 5500
% 0.13/0.38  % (16352)Time elapsed: 0.011 s
% 0.13/0.38  % (16352)Instructions burned: 11 (million)
% 0.13/0.38  % (16352)------------------------------
% 0.13/0.38  % (16352)------------------------------
% 0.13/0.38  % (16349)Success in time 0.023 s
% 0.13/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------